In recent years, the development of wireless sensor networks(WSNs) has risen to a great interest in the Wireless Sensor and Actor Networks(WSANs), which consist of sensors and actors. Because actors have to collaborate with each other to perform tasks, it is vital to maintain the connectivity of actor network in WSANs. This paper proposes a 1-hop based cut-vertex independent connectivity maintaining approach(CIMA) to restore the broken connectivity caused by single actor failure. A balance is achieved in restoration overheads between all actors and individuals by bounding the maximum moveable distance of actor and determining a local optimal repair plan. The effectiveness of CIMA has been validated through simulation experiments.